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141124076430 = 235192318159473
BaseRepresentation
bin1000001101101110100…
…1101000001110001110
3111111021011211212201120
42003123221220032032
54303010230421210
6144455334421410
713124120600031
oct2033351501616
9444234755646
10141124076430
1154939953427
1223426201866
131040072268c
146b8aa37018
153a0e761270
hex20dba6838e

141124076430 has 128 divisors (see below), whose sum is σ = 374086702080. Its totient is φ = 33913313280.

The previous prime is 141124076417. The next prime is 141124076477. The reversal of 141124076430 is 34670421141.

It is a junction number, because it is equal to n+sod(n) for n = 141124076391 and 141124076400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2343174 + ... + 2402646.

It is an arithmetic number, because the mean of its divisors is an integer number (2922552360).

Almost surely, 2141124076430 is an apocalyptic number.

141124076430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141124076430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187043351040).

141124076430 is an abundant number, since it is smaller than the sum of its proper divisors (232962625650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141124076430 is a wasteful number, since it uses less digits than its factorization.

141124076430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59706.

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 141124076430 its reverse (34670421141), we get a palindrome (175794497571).

The spelling of 141124076430 in words is "one hundred forty-one billion, one hundred twenty-four million, seventy-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 181 190 230 285 345 362 437 543 570 690 874 905 1086 1311 1810 2185 2622 2715 3439 4163 4370 5430 6555 6878 8326 10317 12489 13110 17195 20634 20815 24978 34390 41630 51585 59473 62445 79097 103170 118946 124890 158194 178419 237291 297365 356838 395485 474582 594730 790970 892095 1129987 1186455 1367879 1784190 2259974 2372910 2735758 3389961 4103637 5649935 6779922 6839395 8207274 10764613 11299870 13678790 16949805 20518185 21529226 25989701 32293839 33899610 41036370 51979402 53823065 64587678 77969103 107646130 129948505 155938206 161469195 204527647 247586099 259897010 322938390 389845515 409055294 495172198 613582941 742758297 779691030 1022638235 1227165882 1237930495 1485516594 2045276470 2475860990 3067914705 3713791485 4704135881 6135829410 7427582970 9408271762 14112407643 23520679405 28224815286 47041358810 70562038215 141124076430